Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards
Abstract
We introduce the class of piecewise convex transformations, and study their complexity. We apply the results to the complexity of polygonal billiards on surfaces of constant curvature.
Related Researches
Submitted on 16 Dec 2004 (v1), last revised 18 Jan 2005 (this version, v2)
Updated
arXiv.org
Original Source